Unit 1 Pupil Book 5-7 Math Worksheet Page 4
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1
2
3
4
5
6
7
8
9
10Level 6
Write these numbers as squares, cubes or powers of 10.
I can use index
2
100
= 10
because 10
10 = 100
×
notation to write
a
8
b
64
c
1000
d
10 000
e
1 000 000
squares, cubes and
powers of 10
I can give the
Work out
positive and
___
a
121
b
the square roots of 81
negative square roots
____
of a number
c
the square roots of 4
d
49
Rewrite these using index notation.
a
2
2
2
2
2
2
2
2
b
3
3
3
3
I can rewrite
c
7
7
7
7
8
8
8
d
5
5
5
2
numbers using
index notation
I can recall the
Work out
cubes of 1 to
___
_
3
3
3
3
3
a
4
b
2
c
27
d
10
e
1
5 and 10, and their
roots
I can use the
Use the cube numbers you know to mentally calculate these.
cube numbers
I know to calculate
3
3
3
3
a
6
b
8
c
9
d
(0.1)
others mentally
I can estimate
Estimate these cube roots.
the cube roots
__
___
____
____
3
3
3
3
of non-cube numbers
a
9
b
21
c
50
d
90
I can use
the index laws
Simplify, leaving your answers in index form.
for multiplying and
2
3
2
5
4
2
3
a
3
3
b
7
7
c
6
6
d
9
9
dividing numbers in
index form
5
2
9
4
3
2
2
2
e
5
5
f
7
7
g
6
6
h
4
4
I can use a
calculator to fi nd
squares, square roots,
Use a calculator to write these in order, smallest fi rst.
___________
cubes and cube roots
______
___
3
2
3
2
12 167
18
( 5)
18
16
Level 7
Simplify these, leaving your answers in index form.
I can use the
6
5
8
2
3
4
a
c
c
b
d
d
c
z
z
index laws
5
3
6
3
5
2
9
4
2
d
t
t
t
e
(r
r
)
r
f
(u
u
)
u
for multiplying and
dividing letters in
index form
B
A
Binary
Squared away
Computers often use binary strings to store and
Keith writes the numbers
process information. A binary string uses only
1 to 16 on cards and
8
1
15
10
the digits 0 and 1, for example 0011000101.
begins to lay them out.
How many different binary strings are there with
Two cards next to each other always add up to
a
one digit
b
two digits
c
three digits?
make a square number.
List them in each case.
8
1
9
1
15
16
15
10
25 etc.
d
How many different binary strings are there
Lay out the rest of the cards so that this rule
with n digits?
continues.
index law
index notation
inverse
power
square number
square root
7
1.2 Indices and powers
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